Brill-Noether theory for vector bundles with fixed determinant

Update: 2011-06-29

Description

Consider the set of vector bundles or rank r and fixed determinant L with at least k sections. The case of rank two and L canonical has been studied for a few years and some conjectures of Bertram Feinberg and Mukai are by now mostly proved. We will discuss some partial results for other determinants, mostly for rank two.

Comments

In Channel

Vector bundles and coherent systems on nodal curves

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Higgs bundles and quaternionic geometry

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Moduli spaces of locally homogeneous geometric structures

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Bridgeland stability conditions and Fourier-Mukai transforms

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Deligne-Hodge polynomials for SL(2,C)-character varieties of genus 1 and 2.

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Derived categories and rationality of conic bundles

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Stability conditions for the local projective plane

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Kahler-Einstein metrics and Geometric Invariant Theory

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Introduction to moduli of varieties - IV: Surfaces of general type related to abelian varieties and hyperplane arrangements

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Monopoles on the product of a surface and the circle

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Vortices on Riemann Surfaces

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Rank two Brill-Noether theory and the birational geometry of the moduli space of curves

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Universal plane curve and moduli spaces of 1-dimensional coherent sheaves

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Topology of moduli spaces of vector bundles on a real algebraic curve

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Moduli of plane sheaves supported on curves of low multiplicity

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Brill-Noether theory for vector bundles with fixed determinant

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Geometric unitarity of the KZ/Hitchin connection on conformal blocks in genus 0

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Refined curve counting on algebraic surfaces

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Compactifications of reductive groups as moduli stacks of bundles

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Brill-Noether theory for vector bundles with fixed determinant

#box-pro-ellipsis-175751156558498{-webkit-line-clamp:2;}Brill-Noether theory for vector bundles with fixed determinant

Brill-Noether theory for vector bundles with fixed determinant

Steve Greenham

Brill-Noether theory for vector bundles with fixed determinant